There may be exactly $n$ $Q$-points
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908457556246528 |
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| author | Halbeisen, Lorenz Horvath, Silvan Özalp, Tan |
| author_facet | Halbeisen, Lorenz Horvath, Silvan Özalp, Tan |
| contents | We generalize the main result of arXiv:2505.17960 and show the consistency of the statement ``There are exactly $n$ $Q$-points up to isomorphism" for any finite $n$. Furthermore, we show that the above statement for $n=2$ can alternatively be obtained by a length-$ω_2$ countable support iteration of Matet-Mathias forcing restricted to a Matet-adequate family. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15123 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | There may be exactly $n$ $Q$-points Halbeisen, Lorenz Horvath, Silvan Özalp, Tan Logic We generalize the main result of arXiv:2505.17960 and show the consistency of the statement ``There are exactly $n$ $Q$-points up to isomorphism" for any finite $n$. Furthermore, we show that the above statement for $n=2$ can alternatively be obtained by a length-$ω_2$ countable support iteration of Matet-Mathias forcing restricted to a Matet-adequate family. |
| title | There may be exactly $n$ $Q$-points |
| topic | Logic |
| url | https://arxiv.org/abs/2507.15123 |